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Basic notions for fuzzy topology. I. (English) Zbl 0645.54008

The authors present a new concept of fuzzy real line, which allows to define a fuzzy metric. Related fuzzy topologies and comparisons with ordinary topologies are established. Further results are based on the concepts of fuzzy continuity and fuzzy compactness. A notion of fuzzy compactness, formulated in terms of fuzzy filters, is given in the last section.
Reviewer: S.Sessa

MSC:

54A40 Fuzzy topology
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